Question

найти Lg(x) =2Lg(a+b)-3Lg(b)-0,5Lg(a)​

Answer 1

lg(x) = 2lg(a+b) - 3lg(b) - 0.5lg(a)

- используем формулы

log(a) b^k = k log(a) b

log (ab) = log a + log b

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lg(x) = 2lg(a+b) - 3lg(b) - 0.5lg(a) =  lg(a+b)² - lg(b)³ - lg(√a) = lg((a+b)/b³√a )

x = (a + b)/(√a* b³)